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Finding the Third Proportional to 98,384 and 151,422

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Solution

The third proportional to 98,384 and 151,422 is: 233,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384 : 151,422 = 151,422 : x
  2. Step 2: Convert to fraction form
    98,384/151,422 = 151,422/x
  3. Step 3: Cross multiply
    98,384x = 151,422 × 151,422
  4. Step 4: Simplify right side
    98,384x = 22,928,622,084
  5. Step 5: Solve for x
    x = 22,928,622,084/98,384
  6. Step 6: Final answer
    x = 233,052.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.